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pentagon [3]
2 years ago
9

Carbon dioxide (CO2) gas within a piston–cylinder assembly undergoes a process from a state where p1 = 5 lbf/in.2 , V1 = 2.5 ft3

to a state where p2 = 20 lbf/in.2 , V2 = 0.5 ft3 . The relationship between pressure and volume during the process is given by p = 23.75 − 7.5V, where V is in ft3 and p is in lbf/in.2 . Determine the work for the process, in Btu.
Physics
1 answer:
sergeinik [125]2 years ago
7 0

Answer:

work 24.31 ft³/in²

Explanation:

The work in thermodynamic processes is given by a relationship between pressure changes and volume differences as follows:

W = - \int\limits^{V2}_{V1} {p} \, dV

In this exercise they give the pressure ratio P = 23.75 -7.5 V, so we can evaluate the integral between points two V1 = 2.5 ft3 and V2 = 0.5 ft3

W = - [23.75 V -7.5 V² / 2]

W = - [23.75 (0.5 -2.5) - 7.5 (0.5² - 2.5²) / 2]

W = - [-47.5 + 23.19] BTU

W = 24.31 ft3 / in2 = 24.31 BTU

Note that the work is positive since work is done on the gas to compress it.

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In two separate double slit experiments, an interference pattern is observed on a screen. In the first experiment, violet light
sashaice [31]

Answer:

\lambda_3 = 4.72*10^{-7} m

Explanation:

given data:

wavelength \lambda = 708nm = 708*10^{-9} m

using the following relation:

y = \frac{mL\lambda}{d}

according to the given information

second and third dark fringe is at same location. so

y_2 = y_3

\frac{m_2L\lambda_2}{d} = \frac{m_3L\lambda_3}{d}

m_2\lambda_2 = m_3\lambda_3

2*708*10^{-9} = 3*\lambda_3

\lambda_3 = \frac{2*708*10^{-9}}{3}

\lambda_3 = 4.72*10^{-7} m

4 0
2 years ago
While looking at bromine (Br) on the periodic table, a student needs to find another element with very similar chemical properti
Ede4ka [16]

Answer: There are many possible elements, and they are all in the same vertical column as bromine.

Explanation:

In a periodic table, the elements are arranged according to the atomic number. The elements arranged in the same vertical column (known as groups) have same valence configuration and therefore have same chemical properties. Hence, there would be more possible elements having same chemical properties in the same vertical column (group) as Bromine.

7 0
2 years ago
Read 2 more answers
A closed, rigid container holding 0.2 moles of a monatomic ideal gas is placed over a Bunsen burner and heated slowly, starting
Georgia [21]

Answer:

a) 2250 J

b) 0 J

c) 2250 J

Explanation:

a) Since, the process is isochoric

the change in internal energy

\Delta U = n C_v(T_f-T_i)

Here, n = 0.2 moles

Cv = 12.5 J/mole.K

We have to find T_f so we can use gas equation as

\frac{P_1V_1}{P_2V_2} =\frac{T_i}{T_f}\\Since, V_1=V_2    [isochoric/process]\\\Rightarrow \frac{P_{atm}}{4P_{atm}} = \frac{300}{T_f} \\\Rightarrow T_f = 1200 K

So,  \Delta U= 0.2\times12.5(1200-300)\\=2250 J

b) Since, the process is isochoric no work shall be done.

c) By first law of thermodynamics we have

\Delta U = Q-W\\Since, W = 0\\\Delta U = Q\\Therefore, Q = 2250 J

Since, Q is positive 2250 J of heat will flow into the system.

6 0
2 years ago
(a) Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.500 - μC charge and flies due west at a sp
12345 [234]

(a) 2.64\cdot 10^{-8} N north

We can treat the aircraft as a single point charge moving in a magnetic field. In this case, the magnetic force exerted on the plane is

F=qvB sin \theta

where

q=0.500 \mu C = 0.500\cdot 10^{-6} C is the charge on the plane

v = 660 m/s is the velocity

B=8.00\cdot 10^{-5} T is the magnitude of the magnetic field

\theta=90^{\circ} is the angle between the direction of motion of the jet and of the magnetic field

Substituting,

F=(0.5\cdot 10^{-6})(660)(8.0\cdot 10^{-5})=2.64\cdot 10^{-8} N

The direction can be found by using Fleming's left hand rule. We have:

- index finger: magnetic field direction (straight up)

- middle finger: velocity of the plane (due west)

- force: thumb --> north

(b) Not negligible

As we can see from part (a), the magnitude of the force is not really big, so the effects are negligible.

For instance, we can compare this force with the weight of a plane. If we take a Boeing 737, its mass is about 80,000 kg, so its weight is

W=mg=(80000)(9.8)=784,000 N

As we can see, this is several orders of magnitude bigger than the magnetic force calculated at point (a), so the effects of the magnetic force are negligible.

8 0
2 years ago
Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t₁ = 11.9 seconds to get
olga_2 [115]

Answer:

Part a)

\omega = 8.17 rad/s

Part b)

N = 7.74 rev

Part c)

\alpha = 0.69 rad/s^2

Part d)

\alpha = 0.48 rad/s^2

Part e)

t = 9.14 s

Explanation:

Part a)

Angular speed is given as

\omega = 2\pi f

\omega = 2\pi(\frac{78}{60})

\omega = 8.17 rad/s

Part b)

Since turn table is accelerating uniformly

so we will have

\theta = \frac{\omega_f + \omega_i}{2} t

\theta = \frac{8.17 + 0}{2}(11.9)

2N\pi = 48.6

N = 7.74 rev

Part c)

angular acceleration is given as

\alpha = \frac{\omega_f - \omega_i}{t}

\alpha = \frac{8.17 - 0}{11.9}

\alpha = 0.69 rad/s^2

Part d)

When its angular speed changes to 120 rpm

then we will have

\omega_2 = 2\pi (\frac{120}{60})

\omega_2 = 12.56 rad/s

number of turns revolved is 15 times

so we have

\omega_f^2 - \omega_i^2 = 2 \alpha \theta

12.56^2 - 8.17^2 = 2\alpha (2\pi\times 15)

\alpha = 0.48 rad/s^2

Part e)

now for uniform acceleration we have

\omega_f - \omega_i = \alpha t

12.56 - 8.17 = 0.48 t

t = 9.14 s

7 0
2 years ago
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